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1. Theory and Applications of Stochastic Processes : An Analytical Approach
by Zeev Schuss
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
シリーズ名: Applied Mathematical Sciences ; 170
オンライン: http://dx.doi.org/10.1007/978-1-4419-1605-1
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2. An Introduction to Heavy-Tailed and Subexponential Distributions. 1
by Sergey Foss, Dmitry Korshunov, Stan Zachary
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: Springer Series in Operations Research and Financial Engineering ; 38
オンライン: http://dx.doi.org/10.1007/978-1-4419-9473-8
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3. Modèles aléatoires et physique probabiliste
by Franck Jedrzejewski
出版情報: Paris : Springer-Verlag Paris, 2009
オンライン: http://dx.doi.org/10.1007/978-2-287-99308-4
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4.

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4. Intersections of Random Walks
by Gregory F. Lawler
出版情報: New York, NY : Springer New York : Imprint: Birkhäuser, 2013
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-5972-9
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Simple Random Walk
Harmonic Measure
Intersection Probabilities
Four Dimensions
Two and Three Dimensions.- Self-Avoiding Walks.- Loop-Erased walk
Recent Results
Simple Random Walk
Harmonic Measure
Intersection Probabilities
5.

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5. The Sherrington-Kirkpatrick Model
by Dmitry Panchenko
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-6289-7
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Preface
1 The Free Energy and Gibbs Measure
2 The Ruelle Probability Cascades
3 The Parisi Formula
4 Toward a Generalized Parisi Ansatz
A Appendix
Bibliography
Notes and Comments
References
Index
Preface
1 The Free Energy and Gibbs Measure
2 The Ruelle Probability Cascades
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6. Stochastic Tools in Mathematics and Science. 3rd ed. 2013
by Alexandre J. Chorin, Ole H. Hald
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Texts in Applied Mathematics ; 58
オンライン: http://dx.doi.org/10.1007/978-1-4614-6980-3
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Preliminary
Probability
Brownian Motion
Stationary Stochastic Processes
Statistical Mechanics
Index
Time-Dependent Statistical Mechanics
Preliminary
Probability
Brownian Motion
7.

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7. An Introduction to Heavy-Tailed and Subexponential Distributions. 2nd ed. 2013
by Sergey Foss, Dmitry Korshunov, Stan Zachary
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Springer Series in Operations Research and Financial Engineering ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-7101-1
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Preface
Introduction
Heavy- and long-tailed distributions
Subexponential distributions
Densities and local probabilities
Maximum of random walks
References
Index
Preface
Introduction
Heavy- and long-tailed distributions
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8. Time : Poincaré Seminar 2010
edited by Bertrand Duplantier
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Progress in Mathematical Physics ; 63
オンライン: http://dx.doi.org/10.1007/978-3-0348-0359-5
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Foreword
Time and Relativity, Thibault Damour
(Ir)reversibility and Entropy, Cédric Villani
(Ir)réversibilité et entropie, Cédric Villani
Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale, Christopher Jarzynski
Time Measurement in the XXIst Century, Christophe Salomon
Time’s Arrow and Eddington’s Challenge, Huw Price
Image of Time’s Irreversibility, Catherine de Mitry
Image de l'irréversibilité du Temps, Catherine de Mitry
Foreword
Time and Relativity, Thibault Damour
(Ir)reversibility and Entropy, Cédric Villani
9.

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9. Fractional Fields and Applications
by Serge Cohen, Jacques Istas
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Mathématiques et Applications ; 73
オンライン: http://dx.doi.org/10.1007/978-3-642-36739-7
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Foreword
Contents
Introduction
Preliminaries
Self-similarity
Asymptotic self-similarity
Statistics
Simulations
A Appendix
B Appendix
References
Foreword
Contents
Introduction
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10. Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
by Sabir Umarov
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Developments in Mathematics ; 41
オンライン: http://dx.doi.org/10.1007/978-3-319-20771-1
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Function Spaces and Distributions
Pseudo-Differential Operators with Singular Symbols (DOSS)
Fractional Calculus and Fractional Order Operators
Boundary Value Problems for Pseudo-Differential Equations with Singular Symbols
Initial and Boundary Value Problems for Fractional Order Differential Equations
Distributed and Variable Order Differential-Operator Equations
Fractional Fokker-Planck-Kolmogorov Equations
Random Walk Approximants of Mixed and Time-Changed Levy Processes
Complex DOSS and Systems of Complex Differential Equations
References
Function Spaces and Distributions
Pseudo-Differential Operators with Singular Symbols (DOSS)
Fractional Calculus and Fractional Order Operators